Authors: Fowler, Patrick
Stevanović, Dragan 
Milošević, Marko
Title: Counterexamples to a conjecture of Dias on eigenvalues of chemical graphs
Journal: Match
Volume: 63
Issue: 3
First page: 727
Last page: 736
Issue Date: 14-Jun-2010
Rank: M21a
ISSN: 0340-6253
Abstract: 
Chemical graphs (simple, connected graphs with maximum degree no greater than three) with eigenvalues ±√ 8 exist for all orders greater than nine, disproving a conjecture of J.R. Dias that no chemical graph with this pair of eigenvalues exists. In fact, the eigenvalue pair can be achieved with arbitrarily high multiplicity.
Publisher: Faculty of Sciences, University of Kragujevac
Project: Serbian Ministry of Science, Grants 144015 and 144026
Slovenian Research Agency, Program P1-0285

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